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-3x+1+x>7
Add x to both sides.
-2x+1>7
Combine -3x and x to get -2x.
-2x>7-1
Subtract 1 from both sides.
-2x>6
Subtract 1 from 7 to get 6.
x<\frac{6}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x<-3
Divide 6 by -2 to get -3.